Prime p₀= 2290589515483464719 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 62
Found by: Landjunge
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2290588472575633057	0 22 24 72 90 94 126 130 216 220 252 256 274 322 324 346	-1042907831662
TPT(14)	2290588515725952257	0 2 54 56 60 62 72 74 102 104 114 116 180 182	-999757512462
STPT(10)	2290588660300416557	0 2 42 44 72 74 102 104 144 146	-855183048162
TPT(14)	2290589315724511001	0 2 30 32 96 98 126 128 180 182 210 212 228 230	-199758953718
STPT(10)	2290589435956083257	0 2 30 32 72 74 114 116 144 146	-79527381462
STPT(10)	2290589510435007107	0 2 60 62 72 74 84 86 144 146	-5048457612
SPT(16)	2290589700784930609	0 30 54 78 84 100 102 124 168 190 192 208 214 238 262 292	185301465890
SPT(16)	2290589831505912253	0 6 18 58 78 108 118 144 160 186 196 226 246 286 298 304	316022447534
STPT(10)	2290589892995941637	0 2 42 44 72 74 102 104 144 146	377512476918
STPT(10)	2290589928900784307	0 2 30 32 42 44 54 56 84 86	413417319588
SPT(16)	2290590833305270127	0 14 24 30 36 84 126 146 150 170 212 260 266 272 282 296	1317821805408